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Finding the Third Proportional to 836,928 and 1,074,592

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Solution

The third proportional to 836,928 and 1,074,592 is: 1,379,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,928 : 1,074,592 = 1,074,592 : x
  2. Step 2: Convert to fraction form
    836,928/1,074,592 = 1,074,592/x
  3. Step 3: Cross multiply
    836,928x = 1,074,592 × 1,074,592
  4. Step 4: Simplify right side
    836,928x = 1,154,747,966,464
  5. Step 5: Solve for x
    x = 1,154,747,966,464/836,928
  6. Step 6: Final answer
    x = 1,379,745.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.